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Finding the Fourth Proportional to 257,156.30, 354,798.90 and 166,368.46

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Solution

The fourth proportional to 257,156.30, 354,798.90 and 166,368.46 is: 229,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,156.30 : 354,798.90 = 166,368.46 : x
  2. Step 2: Convert to fraction form
    257,156.30/354,798.90 = 166,368.46/x
  3. Step 3: Cross multiply
    257,156.30x = 354,798.90 × 166,368.46
  4. Step 4: Simplify right side
    257,156.30x = 59,027,346,602.69
  5. Step 5: Solve for x
    x = 59,027,346,602.69/257,156.30
  6. Step 6: Final answer
    x = 229,538.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.